LEXINGTON, Ky. -- The two Democratic U.S. presidential hopefuls each scored a primary win Tuesday but it was Barack Obama who moved closer to the party's nomination.

The Illinois senator won Oregon, giving him the bigger share of the 52 delegates up for grabs in the Beaver State, while rival Hillary Clinton handily won in Kentucky by 35 points, CNN reported.

"We have returned to Iowa with a majority of delegates elected by the American people and you have put us within reach of the Democratic nomination for president of the United States," Obama told supporters in Iowa.

Clinton, meanwhile, said she will continue running for the nomination despite trailing Obama in the race for state-by-state delegates and superdelegates, the party leaders who will likely choose the party's nominee since neither candidate will have the delegates needed to clinch the nomination.

"I'm going to keep making our case until we have a nominee -- whoever she may be," Clinton said in Louisville. "We have to select a nominee who is best positioned to win in November and someone who is best prepared to address the enormous challenges in these difficult times."